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10 papers · 1 filter
Kirchhoff's theorem for Prym varieties
Yoav Len, Dmitry Zakharov
We prove an analogue of Kirchhoff's matrix tree theorem for computing the volume of the tropical Prym variety for double covers of metric graphs. We interpret the formula in terms…
Positivity of divisors on blown-up projective spaces, II
Olivia Dumitrescu, Elisa Postinghel
We construct log resolutions of pairs on the blow-up of the projective space in an arbitrary number of general points and we discuss the semi-ampleness of the strict transforms. As…
Topological recursion relations from Pixton's formula
Emily Clader, Felix Janda, Xin Wang +1
We prove that every degree-g polynomial in the -classes on can be expressed as a sum of tautological classes supported on the boundary with no …
Vanishing theorems for linearly obstructed divisors
Olivia Dumitrescu, Elisa Postinghel
We study divisors in the blow-up of at points in general position that are non-special with respect to the notion of linear speciality introduced in [5]. We describe…
Betti Tables of Reducible Algebraic Curves
David J. Bruce, Pin-Hung Kao, Evan D. Nash +2
We study the Betti tables of reducible algebraic curves with a focus on connected line arrangements and provide a general formula for computing the quadratic strand of the Betti ta…
Equations and syzygies of the first secant variety to a smooth curve
Peter Vermeire
We show that if C is a linearly normal smooth curve embedded by a line bundle of degree at least 2g+3+p then the secant variety to the curve satisfies N_{3,p}.