4 papers
Quadratically Enriched Plane Curve Counting via Tropical Geometry
Andrés Jaramillo Puentes, Hannah Markwig, Sabrina Pauli +1
We prove that the quadratically enriched count of rational curves in a smooth toric del Pezzo surface passing through -rational points and pairs of conjugate points in quadratic…
Tropical Methods for Counting Plane Curves -- Complex, Real and Quadratically Enriched
Andrés Jaramillo Puentes, Hannah Markwig, Sabrina Pauli +1
Since the first famous correspondence theorem by Mikhalkin appeared in 2005, tropical geometry has allowed a parallel treatment of real and complex counting problems. A prime examp…
Cohomology classes on moduli of curves from Theta Characteristics
Andrés Jaramillo Puentes, Roberto Pirisi
Using Galois-Stiefel-Whitney classes of theta characteristics we show that over a totally real base field the moduli stack of smooth genus curves and the moduli stack of princi…
A Wall Crossing Formula for Motivic Enumerative Invariants
Andrés Jaramillo Puentes
We prove an analog of the wall crossing formula for Welschinger invariants relating the difference of signed curve counting of real curves passing through configurations that diffe…