Zobrazeno 1 - 10
of 775
pro vyhledávání: '"14D23"'
Autor:
Chern, Shane
In this paper, we establish simple $k$-fold summation expressions for the Quot and motivic Cohen--Lenstra zeta functions associated with the $(2,2k)$ torus links. Such expressions lead us to some multiple Rogers--Ramanujan type identities and their f
Externí odkaz:
http://arxiv.org/abs/2411.07198
Autor:
Pham, Dat
In this short note, we give a new proof of a recent result of Tong Liu on torsions in the graded pieces of a Nygaard filtration associated to a crystalline lattice. Our approach is inspired on the one hand by a result of Gee--Kisin on the shape of mo
Externí odkaz:
http://arxiv.org/abs/2411.04069
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