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 April 22, 2027
Thermotropic liquid crystal droplets stabilized by nanoparticles for the optical detection of phospholipid membranes: impact of membrane composition on LC ordering transitions
This work provides fundamental insight into nanoparticle-stabilized thermotropic liquid crystal droplets that combine colloidal stability with composition-dependent optical responses to interactions with phospholipid membranes at aqueous interfaces.
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- PAR ID:
- 10690734
- Publisher / Repository:
- Royal Society of Chemistry
- Date Published:
- Journal Name:
- Soft Matter
- Volume:
- 22
- Issue:
- 15
- ISSN:
- 1744-683X
- Page Range / eLocation ID:
- 2833 to 2842
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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