Zobrazeno 1 - 10
of 1 243
pro vyhledávání: '"14D06"'
Autor:
Chung, Tai-Hsuan
We formulate a stable reduction conjecture that extends Deligne-Mumford's stable reduction to higher dimensions and provide a simple proof that it holds in large characteristic, assuming two standard conjectures of the Minimal Model Program. As a res
Externí odkaz:
http://arxiv.org/abs/2411.17909
Autor:
Dewer, Bruno
A result due to Cho, Miyaoka, Shepherd-Barron [CMSB] and Kebekus [Ke] provides a numerical characterization of projective spaces. More recently, Dedieu and H\"oring [DH] gave a characterization of smooth quadrics based on similar arguments. As a rela
Externí odkaz:
http://arxiv.org/abs/2411.17549
We describe the Chow homology and cohomology of toric variety bundles, with no restrictions on the singularities of the fibre. We present the ordinary and equivariant homologies as modules over the cohomology of the base, identify the ordinary cohomo
Externí odkaz:
http://arxiv.org/abs/2411.16883
Autor:
Dumnicki, Marcin, Van, Mikolaj Le, Malara, Grzegorz, Szemberg, Tomasz, Szpond, Justyna, Tutaj-Gasinska, Halszka
The purpose of the present note is to provide a new proof ot the well-known result due to Hartshorne and Hirschowitz to the effect that general lines in projective spaces have good postulation. Our approach uses specialization to a hyperplane and thu
Externí odkaz:
http://arxiv.org/abs/2411.11379
We introduce and study different compactifications of the moduli space of $n$ distinct weighted labeled points in a flag of affine spaces. We construct these spaces via the weighted and generalized Fulton-MacPherson compactifications of Routis and Ki
Externí odkaz:
http://arxiv.org/abs/2411.06816
Autor:
Perrella, Pablo, Velazquez, Sebastián
Given a foliation $\mathcal{F}$ on $X$ and an embedding $X\subseteq Y$, is there a foliation on $Y$ extending $\mathcal{F}$? Using formal methods, we show that this question has an affirmative answer whenever the embedding is sufficiently positive wi
Externí odkaz:
http://arxiv.org/abs/2411.04039
Autor:
Kalashnikov, Elana
In this paper, we show that there is a finite SAGBI basis of the coordinate ring of a Kronecker quiver moduli space, indexed by primitive semi-standard tableaux pairs. This induces a toric degeneration of the Kronecker moduli space to a normal toric
Externí odkaz:
http://arxiv.org/abs/2410.19961
Autor:
Boughattas, Elyes
Yanchevski\u{i} had asked whether conic bundle surfaces over $\mathbf{P}^1_k$ are unirational when $k$ is a finite field. We give a partial answer to his question by showing that for quasi-finite fields $k$ (e.g. finite fields) a regular conic bundle
Externí odkaz:
http://arxiv.org/abs/2410.19686
Autor:
Marie, Emeryck
In this paper, we prove the smoothness of the functors of locally trivial deformations, flat deformations and log smooth deformations for irreducible type II degeneration of complex abelian surfaces.
Comment: 44 pages
Comment: 44 pages
Externí odkaz:
http://arxiv.org/abs/2410.10583
Autor:
Moraga, Joaquín, Stark, Talon
Let $X\rightarrow S$ be a fibration of relative dimension at most two and let $(X,\Delta)$ be a klt pair for which $K_X+\Delta \equiv_S 0$. We show that there are only finitely many Mori chambers and Mori faces in the movable effective cone $\mathcal
Externí odkaz:
http://arxiv.org/abs/2409.13068