Alpha Invariant along Curves for General Polarizations of Del Pezzo Surfaces of Degree 2

Won, Joonyeong; Won, Joonyeong

doi:https://doi.org/10.7468/jksmeb.2022.29.2.161

P-ISSN1226-0657
E-ISSN2287-6081
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Vol.29 No.2

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Alpha Invariant along Curves for General Polarizations of Del Pezzo Surfaces of Degree 2

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2022, v.29 no.2, pp.161-170

https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.2.161

Won, Joonyeong

Won,, J. (2022). Alpha Invariant along Curves for General Polarizations of Del Pezzo Surfaces of Degree 2. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 29(2), 161-170, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.2.161

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Abstract

For an arbitrary ample divisor A in smooth del Pezzo surface S of degree 2, we completely compute alpha invariant along curves when the ample divisor A is birational type.

keywords: K-stability, alpha invariant, de Pezzo surface

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Article Contents

Vol.29 No.2

Alpha Invariant along Curves for General Polarizations of Del Pezzo Surfaces of Degree 2

Abstract

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics