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Géométrie, Algèbre, Dynamique et Topologie
Livia Campo, "K-stability of weighted hypersurfaces"
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Europe/Paris
Description
K-stability studies the existence of Kahler-Einstein metrics on algebraic varieties, especially in the Fano case. It bridges many branches of geometry such as complex and birational geometry. We will start by giving an overview of the main notions appearing in K-stability, including some of the most important invariants that play a crucial role in the theory..
In this second part of the talk we focus on weighted Fano hypersurfaces of dimension n>3, the 3-fold case having been established by [Kim-Okada-Won], [Sano-Tasin], [Campo-Okada]. We produce lower bounds for delta invariants of weighted Fano n-fold hypersurfaces embedded in certain weighted projective spaces. This is a joint work in progress with Kento Fujita, Taro Sano, and Luca Tasin..
In this second part of the talk we focus on weighted Fano hypersurfaces of dimension n>3, the 3-fold case having been established by [Kim-Okada-Won], [Sano-Tasin], [Campo-Okada]. We produce lower bounds for delta invariants of weighted Fano n-fold hypersurfaces embedded in certain weighted projective spaces. This is a joint work in progress with Kento Fujita, Taro Sano, and Luca Tasin..
