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math.AG2005
Multiplier ideals in algebraic geometry
Samuel Grushevsky
In this expository introductory text we discuss the multiplier ideals in algebraic geometry. We state Kawamata-Viehweg's and Nadel's vanishing theorems, give a proof (following Ein…
math.AG2005
Cubic equations for the hyperelliptic locus
Samuel Grushevsky
We discuss the conjecture of Buchstaber and Krichever that their multi-dimensional vector addition formula for Baker-Akhiezer functions characterizes Jacobians among principally po…
math.AG2005
Intersection theory of toroidal compactifications of A_4
Cord Erdenberger, Samuel Grushevsky, Klaus Hulek
We determine the intersection theory on the Igusa compactification and the second Voronoi compactification of A_4.