Oleksandra Gasanova

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20242026

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math.AC2025

Invariants of toric double determinantal rings

Jennifer Biermann, Emanuela De Negri, Oleksandra Gasanova +2

We study a class of double determinantal ideals denoted $I_{mn}^{r}$ , which are generated by minors of size 2, and show that they are equal to the Hibi rings of certain finite distri…

math.AC2024

On the Rees algebras of $t$ -path ideals of cycles

Oleksandra Gasanova, JÃ¼rgen Herzog, Jiawen Shan

In this paper we explore certain properties of the Rees algebra of $I_{t} (C_{n})$ , the $t$ -path ideal of an $n$ -cycle. Our main focus is on the cases when such ideals are of fiber type…

math.AC2024

On the Rees algebra and the conductor of an ideal

Oleksandra Gasanova, JÃ¼rgen Herzog, Filip Jonsson Kling +1

For an ideal $I$ in a Noetherian ring $R$ , we introduce and study its conductor as a tool to explore the Rees algebra of $I$ . The conductor of $I$ is an ideal $C (I) \subset R$ obtai…

Invariants of toric double determinantal rings

On the Rees algebras of t-path ideals of cycles

On the Rees algebra and the conductor of an ideal

On the Rees algebras of $t$ -path ideals of cycles