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20112026
most citedLocally Attentional SDF Diffusion for Controllable 3D Shape Generation

120 citations

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7 papers · 1 filter

math.AG2023★ 1 cited

Integral -adic non-abelian Hodge theory for small representations

Yu Min, Yupeng Wang

Let $\frakX$ be a smooth -adic formal scheme over $\calO_C$ with rigid generic fiber . In this paper, we construct a new period sheaf $\calO\widehat \bC_{\pd}^+$ on $X_{\proe…

math.AG2021★ 16 cited

The existence of the Kähler-Ricci soliton degeneration

Harold Blum, Yuchen Liu, Chenyang Xu +1

We prove an algebraic version of the Hamilton-Tian Conjecture for all log Fano pairs. More precisely, we show that any log Fano pair admits a canonical two-step degeneration to a r…

math.AG2021★ 4 cited

On the Quantum K-Theory of the Quintic

Stavros Garoufalidis, Emanuel Scheidegger

Quantum K-theory of a smooth projective variety at genus zero is a collection of integers that can be assembled into a generating series that satisfies a system of linea…

math.AG2018★ 18 cited

Weak Zariski decompositions and log terminal models for generalized polarized pairs

Jingjun Han, Zhan Li

We show that the existence of a birational weak Zariski decomposition for a pseudo-effective generalized polarized lc pair is equivalent to the existence of a generalized polarized…

math.AG2017★ 4 cited

ACC for log canonical threshold polytopes

Jingjun Han, Zhan Li, Lu Qi

We show that the log canonical threshold polytopes of varieties with log canonical singularities satisfy the ascending chain condition.

math.AG2016

On derived equivalence of general Clifford double mirrors

Zhan Li

We show that general Clifford double mirrors constructed in "On Clifford double mirrors of toric complete intersections" are derived equivalent.

math.AG2013★ 13 cited

On base point free theorem of threefolds in positive characteristic

Chenyang Xu

Let be a projective klt three dimensional pair defined over an algebraically closed field characteristic larger than 5. Let be a nef and big line bundle on such th…