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Lower bounds for Waldschmidt constants and Demailly's Conjecture for general and very general points
Sankhaneel Bisui, Thai Thanh Nguyen
We prove Demailly's Conjecture concerning the lower bound for the Waldschmidt constant in terms of the initial degree of the second symbolic powers for any set of generic points or…
Newton-Okounkov body, Rees algebra, and analytic spread of graded families of monomial ideals
Huy Tai Ha, Thai Thanh Nguyen
Let be a graded family of monomial ideal. We use the Newton-Okounkov body of to: (a) give a characterization for the Noethe…
The Initial Degree of Symbolic Powers of Ideals of Fermat Configuration of Points
Thai Thanh Nguyen
Let be an integer and consider the defining ideal of the Fermat configuration of points in : $I_n=(x(y^n-z^n),y(z^n-x^n),z(x^n-y^n)) \subset R=\mathbb{C}[x,…
Quasi f-Ideals
Hasan Mahmood, Fazal Ur Rehman, Thai Thanh Nguyen +1
The notion off-ideals is recent and has been studied in the papers[1] [2], [5], [10], [11], [12], [13], [14] and [15]. In this paper, we have generalized the idea off-ideals to qua…