|4:00 pm Tuesday, February 23, 2010|
Algebraic Geometry Seminar: Complete families of non-degenerate rational curves.
Matt DeLand (Stony Brook) in HB 227
Studying curves on varieties has applications in many different areas of algebraic geometry. If one wants to analyze the geometry of the spaces of curves on some variety, even simple questions become relatively difficult to answer. One of the main techniques for studying the space of curves of a fixed degree and genus on a projective variety is to degenerate those curves "to the boundary" and try to say something inductively. I will discuss some cases in which this degeneration is possible and present new results in case the curves are rational and linearly non-degenerate.Host Department: Rice University-Mathematics
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