57 citations · 359 across the 40 of their papers we have counts for
8 papers · 1 filter
Kummer sandwiches and Greene-Plesser construction
Noah Braeger, Andreas Malmendier, Yih Sung
In the context of K3 mirror symmetry, the Greene-Plesser orbifolding method constructs a family of K3 surfaces, the mirror of quartic hypersurfaces in , starting from…
Jacobian elliptic fibrations on the generalized Inose quartic of Picard rank sixteen
Adrian Clingher, Thomas Hill, Andreas Malmendier
We consider the family of complex algebraic K3 surfaces with Picard lattice containing the unimodular lattice . The surface $\mathcal…
Application of the Biot-Savart Law to Parabolic Vortex Segments using Elliptic Integrals
Andreas Malmendier, Jackson T. Reid
The Biot-Savart law is used in aerodynamic theory to calculate the velocity induced by curved vortex lines. Explicit formulas are developed, using multivariate Appell hypergeometri…
From the signature theorem to anomaly cancellation
Andreas Malmendier, Michael T. Schultz
We survey the Hirzebruch signature theorem as a special case of the Atiyah-Singer index theorem. The family version of the Atiyah-Singer index theorem in the form of the Riemann-Ro…
From hyperelliptic to superelliptic curves
Andreas Malmendier, Tony Shaska
In this long survey article we show that the theory of elliptic and hyperelliptic curves can be extended naturally to all superelliptic curves. We focus on automorphism groups, str…
Rational points in the moduli space of genus two
L. Beshaj, R. Hidalgo, S. Kruk +3
We build a database of genus 2 curves defined over which contains all curves with minimal absolute height , all curves with moduli height $\mathfrak h \leq 20…
Counting Rational Points on Kummer surfaces
Andreas Malmendier, Yih Sung
We consider the problem of counting the number of rational points on the family of Kummer surfaces associated with two non-isogenous elliptic curves. For this two-parameter family…
On isogenies among certain abelian surfaces
Adrian Clingher, Andreas Malmendier, Tony Shaska
We construct a three-parameter family of non-hyperelliptic and bielliptic plane genus-three curves whose associated Prym variety is two-isogenous to the Jacobian variety of a gener…