C. Anghel

activity

20012026

most citedGlobally Generated Vector Bundles on P^n with c_1=3

19 citations · 58 across the 18 of their papers we have counts for

collaborators

21 papers

math.AG2026

Polarized varieties without arithmetically Cohen-Macaulay bundles and section rings without graded maximal Cohen-Macaulay modules in characteristic zero

Cristian Anghel

We exhibit smooth polarized surfaces $(Y, H)$ over $C$ carrying no nonzero arithmetically Cohen-Macaulay bundle of any rank. Equivalently, their section rings are three-dim…

math.AG2026

Smooth Counterexamples to the Eisenbud--Schreyer--Weyman Ulrich Existence Problem

Cristian Anghel

In their 2003 article in the Journal of the American Mathematical Society, Eisenbud, Schreyer and Weyman asked whether every embedded projective variety carries an Ulrich sheaf. In…

math.SG2026

Relative Logarithmic AKSZ Descent on Joyce Generalized Corners

Cristian Anghel

We study resolution-independent relative logarithmic source complexes for AKSZ-BV-BFV theory on face-oriented Joyce manifolds with generalized corners. Under the geometric hypothes…

math.AG2026

A no-go theorem for special Ulrich bundles, with a complement on primary Burniat surfaces

Cristian Anghel, Filip Chindea

Let $X$ be a smooth projective surface with $p_{g} = 0$ , and let $H$ be an ample divisor with $h^{0} (O_{X} (H)) \neq = 0$ , $χ (O_{X} (H)) \geq q$ , and $h^{1} (O_{X} (H)) \neq = 0$ …

math.SG2026

AKSZ Descent on Manifolds with Ordinary Corners

Cristian Anghel

Under an explicit formal mapping-space hypothesis, we develop a facewise formulation of the classical AKSZ construction on compact oriented manifolds with ordinary corners. The cod…

math.AG2020

Globally generated vector bundles with $c_{1} = 5$ on $P^{n}$ , $n \geq 4$

Cristian Anghel, Iustin Coanda, Nicolae Manolache

We complete the classification of globally generated vector bundles with small $c_{1}$ on projective spaces by treating the case $c_{1} = 5$ on $P^{n}$ , $n \geq 4$ (the case $c_…

Polarized varieties without arithmetically Cohen-Macaulay bundles and section rings without graded maximal Cohen-Macaulay modules in characteristic zero

Smooth Counterexamples to the Eisenbud--Schreyer--Weyman Ulrich Existence Problem

Relative Logarithmic AKSZ Descent on Joyce Generalized Corners

A no-go theorem for special Ulrich bundles, with a complement on primary Burniat surfaces

AKSZ Descent on Manifolds with Ordinary Corners

Globally generated vector bundles with c1​=5 on Pn, n≥4

Globally generated vector bundles with $c_{1} = 5$ on $P^{n}$ , $n \geq 4$