Daniele Arcara's Web Page

My research area is algebraic geometry.

I am mainly interested in various moduli spaces which have become important for their relation with physics. Examples are: moduli spaces of stable objects in the derived category, moduli spaces of curves and their tautological rings, and moduli spaces of vector bundles on curves. You can find out more in my research statement.

Publications:

• A lower bound for the dimension of the base locus of the generalized theta divisor, C. R. Acad. Sci. Paris, Ser. I 340 (2005), Issue 2, p. 131-134.
• Extensions and rank-2 vector bundles on irreducible nodal curves, Internat. J. Math., Vol. 16, No. 10 (2005), p. 1081-1118.

Preprints:

• Tautological equations in genus 2 via invariance conjectures, joint work with Y.-P. Lee.
• Tautological equation in \bar{M}_{3,1} via invariance conjectures, joint work with Y.-P. Lee.
• Recursive formula for psi^g - lambda_1 psi^{g-1} + ... + (-1)^g lambda_g in \Mbar_{g,1}, joint work with F. Sato.
• On independence of generators of the tautological rings, joint work with Y.-P. Lee.
• New Moduli Spaces for K3 Surfaces, joint work with A. Bertram, in preparation.
• Tautological relations in \bar{M}_{g,1} via localization, joint work with F. Sato, in preparation.

Lecture Notes:

• Classificazione delle Superficie Algebriche e Superficie di Enriques (On the Classification of Complex Algebraic Surfaces and Enriques' Surfaces), Bachelor's Thesis, July 1996.
• Stability Conditions on Derived Categories

Collaborators:

• A. Bertram
• Y.P. Lee
• F. Sato

Last updated on May 18, 2006.