Zobrazeno 1 - 10
of 34
pro vyhledávání: '"14G17 (primary)"'
Autor:
Totaro, Burt
An important local vanishing theorem for the minimal model program is the fact that klt singularities in characteristic zero are Cohen-Macaulay. In contrast, even in the narrow setting of terminal singularities of dimension 3, we show that Cohen-Maca
Externí odkaz:
http://arxiv.org/abs/2407.02608
Autor:
Cheng, Raymond
For any power $q$ of the positive ground field characteristic, a smooth $q$-bic threefold -- the Fermat threefold of degree $q+1$ for example -- has a smooth surface $S$ of lines which behaves like the Fano surface of a smooth cubic threefold. I deve
Externí odkaz:
http://arxiv.org/abs/2402.09884
Autor:
Cheng, Raymond
Traditional algebraic geometric invariants lose some of their potency in positive characteristic. For instance, smooth projective hypersurfaces may be covered by lines despite being of arbitrarily high degree. The purpose of this dissertation is to d
Externí odkaz:
http://arxiv.org/abs/2205.05273
Autor:
Das, Soumyadip
We study the \'{e}tale fundamental groups of singular reduced connected curves defined over an algebraically closed field of arbitrary prime characteristic. It is shown that when the curve is projective, the \'{e}tale fundamental group is a free prod
Externí odkaz:
http://arxiv.org/abs/2203.11870
Autor:
Das, Soumyadip
We obtain new evidence for the Purely Wild Inertia Conjecture posed by Abhyankar and for its generalization. We show that this generalized conjecture is true for any product of simple Alternating groups in odd characteristics, and for any product of
Externí odkaz:
http://arxiv.org/abs/2111.15495
Autor:
Sawada, Tadakazu
In this paper, we classify the configurations of the singular points which appear on the quotients of the projective plane by the $1$-foliations of degree $-1$ in characteristic $2$.
Externí odkaz:
http://arxiv.org/abs/2110.01753
Autor:
Coskun, Izzet, Smith, Geoffrey
Let $X$ be a projective variety and let $C$ be a rational normal curve on $X$. We compute the normal bundle of $C$ in a general complete intersection of hypersurfaces of sufficiently large degree in $X$. As a result, we establish the separable ration
Externí odkaz:
http://arxiv.org/abs/2106.01991
Autor:
Ojiro, Norifumi
In characteristic $p>0$ and for $q$ a power of $p$, we compute the number of nonplanar rational curves of arbitrary degrees on a smooth Hermitian surface of degree $q+1$ under the assumption that the curves have a parametrization given by polynomials
Externí odkaz:
http://arxiv.org/abs/2003.13211
Autor:
de Bruyn, Remy van Dobben
Publikováno v:
Alg. Number Th. 15 (2021) 729-745
Let $k$ be a field of positive characteristic. We prove that the only linear relations between the Hodge numbers $h^{i,j}(X) = \dim H^j(X,\Omega_X^i)$ that hold for every smooth proper variety $X$ over $k$ are the ones given by Serre duality. We also
Externí odkaz:
http://arxiv.org/abs/2001.02787
Autor:
de Bruyn, Remy van Dobben
We prove a precise version of a theorem of Siu and Beauville on morphisms to higher genus curves, and use it to show that if a variety $X$ in characteristic $p$ lifts to characteristic $0$, then any morphism $X \to C$ to a curve of genus $g \geq 2$ c
Externí odkaz:
http://arxiv.org/abs/1902.07885