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Abstract. We study the p-rank stratification of the moduli space of cyclic degree ! covers of the projective line in characteristic p for distinct primes p and !. The main result is about the intersection of the p-rank 0 stratum with the boundary of the moduli space of curves. When ! = 3 and p ≡ 2 mod 3 is an odd prime, we prove that there exists a smooth trielliptic curve in characteristic p, for every genus g, signature type (r,s), and p-rank f satisfying the clear necessary conditions.
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This content will become publicly available on September 29, 2025
Unlocking the Potential of Federated Learning: The Symphony of Dataset Distillation via Deep Generative Latents
- Award ID(s):
- 2112562
- PAR ID:
- 10549025
- Publisher / Repository:
- The 18th European Conference on Computer Vision (ECCV) 2024
- Date Published:
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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