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Showing 2016 · math.AGShow all
3 papers · 2 filters
math.AG2016
Random fields and the enumerative geometry of lines on real and complex hypersurfaces
Saugata Basu, Antonio Lerario, Erik Lundberg +1
We derive a formula expressing the average number of real lines on a random hypersurface of degree in in terms of the expected modulus of the…
math.AG2016★ 3 cited
Distinguished models of intermediate Jacobians
Jeff Achter, Sebastian Casalaina-Martin, Charles Vial
We show that the image of the Abel-Jacobi map admits functorially a model over the field of definition, with the property that the Abel-Jacobi map is equivariant with respect to th…
math.AG2016★ 4 cited
Parameter spaces for algebraic equivalence
Jeff Achter, Sebastian Casalaina-Martin, Charles Vial
A cycle is algebraically trivial if it can be exhibited as the difference of two fibers in a family of cycles parameterized by a smooth scheme. Over an algebraically closed field,…