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Algebraic Geometry Papers @AlgebraicPapers

New Algebraic Geometry papers from arxiv.org: algebraic varieties, stacks, sheaves. Thank you to arXiv for use of its open access interoperability.

Joined January 2010
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Dichotomy for the p-primary Brauer-Manin obstruction in characteristic p Christopher D. Lazda, Alexei N. Skorobogatov arxiv.org/abs/2606.14967 [πš–πšŠπšπš‘.𝙰𝙢]

Dichotomy for the p-primary Brauer-Manin obstruction in characteristic p

Let X be a smooth, projective, geometrically integral variety over a global function field k of characteristic p. We show that if the unipotent Brauer group of X is zero, and the Picard scheme of...

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Cohomology of Flag Superschemes and Syzygies of Compositional Varieties Abhik Pal arxiv.org/abs/2606.14953 [πš–πšŠπšπš‘.𝙰𝙢 πš–πšŠπšπš‘.𝙰𝙲 πš–πšŠπšπš‘.πšπšƒ]

Cohomology of Flag Superschemes and Syzygies of Compositional Varieties

We study the coherent cohomology of partial flag supervarieties and calculate the sheaf cohomology of the structure sheaves of four new infinite families of flag supervarieties. We introduce...

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A note on o-minimal tropicalizations Lorenzo Baldi, MΓ‘tΓ© L. Telek arxiv.org/abs/2606.14523 [πš–πšŠπšπš‘.𝙰𝙢 πš–πšŠπšπš‘.𝙻𝙾]

A note on o-minimal tropicalizations

In this note, we provide several equivalent descriptions of the tropicalization of definable sets in a polynomially bounded o-minimal expansion of a real closed field. We show that the...

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Duality for t- modules: The Difficult Cases Dawid E. KΔ™dzierski., Piotr KrasoΕ„ arxiv.org/abs/2606.14399 [πš–πšŠπšπš‘.𝙰𝙢]

Duality for t- modules: The Difficult Cases

This paper continues our previous work on duality for Anderson $t$-modules. We study two dimensional triangular t-modules in a specific reduce form. Computer - assisted symbolic computations with...

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Invariant polynomials and Mukai's models of moduli spaces of curves and K3 surfaces David Swinarski arxiv.org/abs/2606.14339 [πš–πšŠπšπš‘.𝙰𝙢]

Invariant polynomials and Mukai's models of moduli spaces of...

Beginning in the 1980s, Mukai introduced birational models of some moduli spaces of curves and some moduli spaces of K3 surfaces. They are defined as geometric invariant theory quotients. Little...

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Fano manifolds with complete intersection type VMRT Cenhao Li arxiv.org/abs/2606.14236 [πš–πšŠπšπš‘.𝙰𝙢]

Fano manifolds with complete intersection type VMRT

We study Fano manifolds of Picard number one equipped with a locally flat VMRT structure whose VMRT at a general point is a smooth linearly non-degenerate complete intersection. We prove that such...

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Automorphism groups of non-normal affine toric surfaces Kirill Selin arxiv.org/abs/2606.14234 [πš–πšŠπšπš‘.𝙰𝙢]

Automorphism groups of non-normal affine toric surfaces

We investigate the automorphism groups of non-normal affine toric surfaces. While the connected component of the automorphism group of a normal toric surface is always generated by the acting...

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Artin-Schreier Root Stacks and lifts of group actions Sujoy Chakraborty, Souradeep Majumder arxiv.org/abs/2606.14110 [πš–πšŠπšπš‘.𝙰𝙢]

Artin-Schreier Root Stacks and lifts of group actions

Let $G$ be a connected affine algebraic group defined over a field of positive characteristic. We prove that the action of $G$ on a smooth projective variety can be lifted to its associated...

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Lang-Vojta conjecture over function fields for very general log projective spaces Takeshi Abe arxiv.org/abs/2606.14074 [πš–πšŠπšπš‘.𝙰𝙢]

Lang-Vojta conjecture over function fields for very general log...

We consider a bound of degrees of curves by their genera in the log pair $(\mathbb{P}^{n}\times C, D)$, where $C$ is a smooth complex projective curve and $D$ is a very general smooth divisor on...

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Adelic line bundles over a NΓ©ron model Zhelun Chen arxiv.org/abs/2606.13963 [πš–πšŠπšπš‘.𝙰𝙢 πš–πšŠπšπš‘.π™½πšƒ]

Adelic line bundles over a NΓ©ron model

Motivated by variation problems for the NΓ©ron--Tate height pairing, we construct an adelic PoincarΓ© bundle on the NΓ©ron model of an abelian scheme over a curve. This extends the adelic...

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Explicit Homology Representation for Finite Groups Acting on Riemann Surfaces S. Allen Broughton, Linden Disney-Hogg arxiv.org/abs/2606.13922 [πš–πšŠπšπš‘.𝙰𝙢]

Explicit Homology Representation for Finite Groups Acting on...

Given a finite group $G$ acting orientably on a surface $S$ of genus $Οƒ\geq 2$, the group $G$ acts faithfully on the homology group $H_{1}(S;\mathbb{Z})$, preserving the symplectic...

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Nonsimplicial toric Nullstellensatz and stacky GKZ theory Christine Berkesch, Daniel Erman, David Favero arxiv.org/abs/2606.13907 [πš–πšŠπšπš‘.𝙰𝙢 πš–πšŠπšπš‘.𝙰𝙲]

Nonsimplicial toric Nullstellensatz and stacky GKZ theory

We introduce a variant of the Cox ring using $\mathbb{Q}$-Cartier divisors and use this to remedy various deficiencies of nonsimplicial toric varieties. Our main applications are: Cox's...

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Explicit local stable resolution of cusps Stefan Wewers arxiv.org/abs/2606.13875 [πš–πšŠπšπš‘.𝙰𝙢 πš–πšŠπšπš‘.π™½πšƒ]

Explicit local stable resolution of cusps

This article gives an explicit local stable resolution of cusps on GIT-stable plane quartic models. More generally, we consider a smoothing of an ordinary plane cusp over a complete discretely...

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AKSZ Construction for Shifted Contact Structures Efe Δ°zbudak, Kadri Δ°lker Berktav arxiv.org/abs/2606.13866 [πš–πšŠπšπš‘.𝙰𝙢 πš–πšŠπšπš‘.πš‚π™Ά]

AKSZ Construction for Shifted Contact Structures

This paper establishes the AKSZ theorem for shifted contact structures and its applications. In brief, to resolve certain obstructions, we first define the quotient mapping stack as the quotient...

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Semistable reduction of smooth quartics Max Schwegele, Kletus Stern, Stefan Wewers arxiv.org/abs/2606.13863 [πš–πšŠπšπš‘.𝙰𝙢 πš–πšŠπšπš‘.π™½πšƒ]

Semistable reduction of smooth quartics

We study semistable reduction of smooth plane quartic curves over discretely valued fields, including residue characteristic (p=2). Using Geometric Invariant Theory, together with a...

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Strictly Semistable Quasimaps on the Wall Sara Stephens arxiv.org/abs/2606.13783 [πš–πšŠπšπš‘.𝙰𝙢]

Strictly Semistable Quasimaps on the Wall

Moduli spaces of $Ξ΅$-stable quasimaps exhibit a wall and chamber structure, interpolating between the moduli of stable quasimaps and Kontsevich's moduli spaces of stable maps. In the case...

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Families of smooth Fano fourfolds of Picard rank 1 without Bott vanishing Jiahe Wang arxiv.org/abs/2606.13466 [πš–πšŠπšπš‘.𝙰𝙢]

Families of smooth Fano fourfolds of Picard rank 1 without Bott vanishing

We show that $Ο‡(X,T_X)<0$ for the currently known families of smooth Fano fourfolds of Picard rank $1$ and index $1$. Combining this with the known Picard rank $1$ index $> 1$ cases, we show...

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Valuative criteria for adic spaces Magdalena Bauer arxiv.org/abs/2606.13269 [πš–πšŠπšπš‘.𝙰𝙢]

Valuative criteria for adic spaces

We establish valuative criteria for separatedness and (partial) properness for morphisms of adic spaces, which account for both vertical and horizontal specializations. The lifting test diagrams...

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Fence Complexes and Toric Degenerations of Positroid Varieties Cameron Chang, Pranav Enugandla, Josephine Hlavinka arxiv.org/abs/2606.12815 [πš–πšŠπšπš‘.𝙰𝙢 πš–πšŠπšπš‘.𝙲𝙾]

Fence Complexes and Toric Degenerations of Positroid Varieties

We associate to each positroid variety in the Grassmannian $\mathrm{Gr}(k,n)$ a polyhedral complex, which we call a fence complex. Fence complexes consist of unions of faces of the Gelfand-Tsetlin...

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Algebraic cobordism rings of wonderful varieties and matroids Raj Gandhi, Ethan Partida arxiv.org/abs/2606.12645 [πš–πšŠπšπš‘.𝙰𝙢 πš–πšŠπšπš‘.𝙲𝙾]

Algebraic cobordism rings of wonderful varieties and matroids

We give two combinatorial presentations for the algebraic cobordism ring $Ξ©^*(M)$ of the toric variety of the Bergman fan of any loopless matroid $M$. As a consequence of our presentations,...

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