Meng Chen

activity

19992025

most citedCanonical stability in terms of singularity index for algebraic threefolds

36 citations · 143 across the 39 of their papers we have counts for

collaborators

Showing 2008Show all

4 papers · 1 filter

math.AG2008★ 8 cited

Explicit birational geometry of 3-folds of general type, II

Jungkai A. Chen, Meng Chen

Let $V$ be a complex nonsingular projective 3-fold of general type. We shall give a detailed classification up to baskets of singularities on a minimal model of $V$ . We show that t…

math.AG2008★ 2 cited

Explicit birational geometry of 3-folds of general type, I

Jungkai A. Chen, Meng Chen

Let $V$ be a complex nonsingular projective 3-fold of general type. We prove $P_{12} (V) := dim H^{0} (V, 12 K_{V}) > 0$ and $P_{m_{0}} (V) > 1$ for some positive integer $m_{0} \leq 24$ . A di…

math.AG2008★ 3 cited

On pluricanonical systems of algebraic varieties of general type

Meng Chen

We extend Kollar's technique to look for an explicit function h(n) with phi_m birational onto its image for all integers $m \geq h (n)$ and for all n-dimensional nonsingular projecti…

math.AG2008

An optimal boundedness on weak $\bQ$-Fano threefolds

Jungkai Alfred Chen, Meng Chen

Let $X$ be a terminal weak $\bQ$-Fano threefold. We prove that $P_{- 6} (X) > 0$ and $P_{- 8} (X) > 1$ . We also prove that the anti-canonical volume has a universal lower bound $-K_X^3 \ge…