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math.AG2025
Largest zero-dimensional intersection of degree hypersurfaces
Yuxin Lin, Deepesh Singhal
Suppose we have hypersurfaces in of degree , whose defining polynomials are linearly independent, and their intersection has dimension . Then what is the l…
math.CO2025
On the smallest partition associated to a numerical semigroup
Nathan Kaplan, Kaylee Kim, Cole McGeorge +2
The set of hook lengths of an integer partition is the complement of some numerical semigroup . There has been recent interest in studying the number of partitions with a gi…
math.NT2025
The -rank stratification of the moduli space of double covers of a fixed elliptic curve
Kevin Chang, Dušan Dragutinović, Steven R. Groen +3
In this paper we investigate the -rank stratification of the moduli space of curves of genus that admit a double cover to a fixed elliptic curve in characteristic .…