Counterexamples to Kodaira’s vanishing and Yau’s inequality in positive characteristics

Autor:	Shigeru Mukai
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	Frobenius map Pure mathematics Inequality media_common.quotation_subject Dimension (graph theory) 14J99 Algebraic variety Type (model theory) Cohomology 14F17 Arithmetic Mathematics media_common Counterexample
Zdroj:	Kyoto J. Math. 53, no. 2 (2013), 515-532
ISSN:	2156-2261
Popis:	We generalize Tango’s theorem on the Frobenius map of the first cohomology groups to higher-dimensional algebraic varieties in characteristic $p\gt 0$ . As an application we construct counterexamples to Kodaira vanishing in higher dimension and prove the Ramanujam-type vanishing on surfaces which are not of general type when $p\ge5$ .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b55eb11a35233b5be337bc1025b53f29 http://hdl.handle.net/2433/176346 Zobrazit plný text záznamu