A NOTE ON KODAIRA VANISHING ON SURFACES

Cristian Martinez

doi:10.1090/proc/17453

A NOTE ON KODAIRA VANISHING ON SURFACES

Cristian Martinez

Producción científica: Contribución a revista › Artículo de Investigación › revisión exhaustiva

Resumen

We give a proof of the Kodaira vanishing theorem on smooth complex surfaces using geometric stability conditions. Likewise, we give a new proof of a result of Xie [Chinese Ann. Math. Ser. B 32 (2011), 741–748] characterizing the counterexamples of the Kodaira vanishing theorem on surfaces in positive characteristic.

Idioma original	Inglés estadounidense
Páginas (desde-hasta)	109-117
Número de páginas	9
Publicación	Proceedings of the American Mathematical Society
Volumen	154
N.º	1
DOI	https://doi.org/10.1090/proc/17453
Estado	Publicada - ene. 2026
Publicado de forma externa	Sí

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Matemáticas General
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A NOTE ON KODAIRA VANISHING ON SURFACES

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