Zobrazeno 1 - 10
of 996
pro vyhledávání: '"14D23"'
Autor:
Achenjang, Niven
We develop some general tools for computing the Brauer group of a tame algebraic stack $\mathscr X$ by studying the difference between it and the Brauer group of the coarse space $X$ of $\mathscr X$. It is our hope that these tools will be used to si
Externí odkaz:
http://arxiv.org/abs/2410.06217
Autor:
Ciurca, Tudor
We develop a theory of Prym varieties and cubic threefolds over fields of characteristic $2$. As an application, we prove that smooth cubic threefolds are non-rational over an arbitrary field and solve a conjecture of Deligne regarding arithmetic Tor
Externí odkaz:
http://arxiv.org/abs/2409.15580
A Geometric Compactification Of The Moduli Stack Of Left Invariant Complex Structures On A Lie Group
Autor:
Meersseman, Laurent
We describe a geometric compactification of the moduli stack of left invariant complex structures on a fixed real Lie group or a fixed quotient. The extra points are CR structures transverse to a real foliation.
Externí odkaz:
http://arxiv.org/abs/2408.16182
Autor:
Kothari, Casimir, Mundinger, Joshua
For all $n \geq 1$, there is a notion of $n$-smooth group scheme over any $\mathbb{F}_p$-algebra $R$, which may be thought of as a ``Frobenius analogue" of $n$-truncated Barsotti-Tate groups over $R$. We show that the category of $n$-smooth commutati
Externí odkaz:
http://arxiv.org/abs/2408.15333
We study the categorical Torelli theorem for smooth (weighted) hypersurfaces in (weighted) projective spaces via the Hochschild--Serre algebra of its Kuznetsov component. In the first part of the paper, we show that a natural graded subalgebra of the
Externí odkaz:
http://arxiv.org/abs/2408.08266
We prove that Dyck's Surface, which is the connected sum of three projective planes, is a fine moduli stack of possibly-degenerate similarity classes of triangles, where degeneracy is defined broadly to be compatible with the metric closures of known
Externí odkaz:
http://arxiv.org/abs/2408.07792
Autor:
Joshua, Roy, Pelaez, Pablo
In this paper we consider the K-theory of smooth algebraic stacks, establish lambda and gamma operations, and show that the higher K-theory of such stacks is always a pre-lambda-ring, and is a lambda-ring if every coherent sheaf is the quotient of a
Externí odkaz:
http://arxiv.org/abs/2407.10394
We show that the $\infty$-category of global spaces is equivalent to the homotopy localization of the $\infty$-category of sheaves on the site of separated differentiable stacks, following a philosophy proposed by Gepner-Henriques. We further prove t
Externí odkaz:
http://arxiv.org/abs/2407.06877
Autor:
de Vries, Sjoerd
In this paper, we prove a Lefschetz trace formula for B\"ockle-Pink crystals on tame Deligne-Mumford stacks of finite type over $\mathbb{F}_q$ and apply it to the crystal associated to the universal Drinfeld module. Combined with the Eichler-Shimura
Externí odkaz:
http://arxiv.org/abs/2407.04554
Autor:
Das, Soumyadip, Majumder, Souradeep
Let $k$ be an algebraically closed field of any characteristic, and let $(X,P)$ be an orbifold curve over $k$. We construct the moduli space $\mathrm{M}_{(X,P)}^{\mathrm{ss}}(n, \Delta)$ of $P$-semistable bundles on $(X,P)$ of rank $n$ and determinan
Externí odkaz:
http://arxiv.org/abs/2406.16337