The irreducibility of ladder determinantal varieties

Mixed Ladder Determinantal Varieties

✍ Nicolae Gonciulea; Claudia Miller 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 252 KB

We investigate ladder determinantal varieties defined by ideals of minors of Ž . possibly different sizes in the different regions the steps of one-sided ladders L. These varieties are an important generalization of the classical ladder determinan-Ž . tal varieties i.e., with equal-size minors since

Singular Loci of Ladder Determinantal Va

Singular Loci of Ladder Determinantal Varieties and Schubert Varieties

✍ N. Gonciulea; V. Lakshmibai 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 275 KB

We relate certain ladder determinantal varieties (associated to one-sided ladders) to certain Schubert varieties in SL n /Q, for a suitable n and a suitable parabolic subgroup Q, and we determine the singular loci of these varieties. We state a conjecture on the irreducible components of the singula

Divisor Class Groups of Ladder Determina

Divisor Class Groups of Ladder Determinantal Varieties

✍ J.V. Motwani; M.A. Sohoni 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 308 KB

Normality of Ladder Determinantal Rings

✍ J.V. Motwani; M.A. Sohoni 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 161 KB

We prove that ladder determinantal rings where the determinantal ideals are . generated by mixed size minors are normal.

Singular Loci of Ladder Determinantal Va

Singular Loci of Ladder Determinantal Varieties and Schubert Varieties: Volume 229, Number 2 (2000), pages 463–497

✍ N. Gonciulea; V. Lakshmibai 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 291 KB

We relate certain ladder determinantal varieties (associated to one-sided ladders) to certain Schubert varieties in SL n /Q, for a suitable n and a suitable parabolic subgroup Q, and we determine the singular loci of these varieties. We state a conjecture on the irreducible components of the singula

Sparse Systems of Parameters for Determi

Sparse Systems of Parameters for Determinantal Varieties

✍ Donna Glassbrenner; Karen E Smith 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 292 KB