Výsledky vyhledávání - "Karagiannis, Kostas"

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Representations on canonical models of generalized Fermat curves and their syzygies

Autor: Karagiannis, Kostas

We study canonical models of $\left(\mathbb{Z}/k\mathbb{Z}\right)^n$- covers of the projective line, tamely ramified at exactly $n+1$ points each of index $k$, when $k,n\geq 2$ and the characteristic of the ground field $K$ is either zero or does not

Externí odkaz: http://arxiv.org/abs/2304.02990

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The equivariant Hilbert series of the canonical ring of Fermat curves

Autor: Charalambous, Hara, Karagiannis, Kostas, Karanikolopoulos, Sotiris, Kontogeorgis, Aristides

We consider a Fermat curve $F_n:x^n+y^n+z^n=1$ over an algebraically closed field $k$ of characteristic $p\geq0$ and study the action of the automorphism group $G=\left(\mathbb{Z}/n\mathbb{Z}\times\mathbb{Z}/n\mathbb{Z}\right)\rtimes S_3$ on the cano

Externí odkaz: http://arxiv.org/abs/2105.06945

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Local Oort groups and the isolated differential data criterion

Autor: Dang, Huy, Das, Soumyadip, Karagiannis, Kostas, Obus, Andrew, Thatte, Vaidehee

Publikováno v: J. Th\'eor. Nombres Bordeaux 34 (2022), no. 1, 251--269

It is conjectured that if k is an algebraically closed field of characteristic p > 0, then any branched G-cover of smooth projective k-curves where the "KGB" obstruction vanishes and where a p-Sylow subgroup of G is cyclic lifts to characteristic 0.

Externí odkaz: http://arxiv.org/abs/1912.12797

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The Relative Canonical Ideal of the Artin-Schreier-Kummer-Witt family of curves

Autor: Charalambous, Hara, Karagiannis, Kostas, Kontogeorgis, Aristides

We study the canonical model of the Artin-Schreier-Kummer-Witt flat family of curves over a ring of mixed characteristic. We first prove the relative version of a classical theorem by Petri, then use the model proposed by Bertin-M\'ezard to construct

Externí odkaz: http://arxiv.org/abs/1905.05545

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