most citedTautological equations in genus 2 via invariance conjectures

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math.AG2005★ 2 cited

Tautological equation in \bar{M}_{3,1} via invariance conjectures

D. Arcara, Y. -P. Lee

A new tautological equation of $\Mbar_{3,1}$ in codimension 3 is derived and proved, using the invariance condition explained in earlier works.

math.AG2005★ 4 cited

Tautological equations in genus 2 via invariance conjectures

D. Arcara, Y. -P. Lee

We verify the Invariance Conjectures of tautological equations in genus two. In particular, a uniform derivation of all known genus two equations is given.

math.AG2004

Extensions and rank-2 vector bundles on irreducible nodal curves

D. Arcara

We generalize Bertram's work on rank two vector bundles to an irreducible projective nodal curve C. We use extensions of a line bundle L by O_C and the associated `forgetful' map t…