该期刊是 FOUNDATION COMPOSITIO MATHEMATICA 拥有的开放获取期刊。该期刊的宗旨是发表代数几何及相关领域的一流研究论文。所有贡献都必须符合高质量和原创性的高标准，并由该领域的专家仔细筛选。

Algebraic Geometry is an open-access journal published by FOUNDATION COMPOSITIO MATHEMATICA, dedicated to publishing high-quality research papers in algebraic geometry and related fields. All contributions must meet strict standards of quality and originality, and are carefully reviewed by experts in the field.

《Algebraic Geometry》是由 FOUNDATION COMPOSITIO MATHEMATICA 出版的开放获取期刊，旨在发表代数几何及相关领域的高水平研究论文。所有投稿均需符合高质量和原创性的严格标准，并经过该领域专家的仔细审查。

Algebraic Geometry

This is the first of a sequence of papers proving the quantum invariance under ordinary flops over an arbitrary smooth base.In this first part, we determine the defect of the cup product under the canonical correspondence and show that it is corrected by the small quantum product attached to the extremal ray.We then perform various reductions to reduce the problem to local models.In part II ("Invariance of quantum rings under ordinary flops II", Algebraic Geometry, 2016), we develop a quantum Leray-Hirsch theorem and use it to show that the big quantum cohomology ring is invariant under analytic continuation in the Kähler moduli space for ordinary flops of split type.In part III (Lee, Lin, Qu and Wang, "Invariance of quantum rings under ordinary flops III", Cambridge Journal of Mathematics, 2016), we remove the splitting condition by developing a quantum splitting principle, and hence solve the problem completely.

Yuan-Pin Lee

Hui-Wen Lin

Chin-Lung Wang

Algebraic geometry

Invariance of quantum rings under ordinary flops I: Quantum corrections and reduction to local models

量子环在普通翻转下的不变性 I：量子修正与局部模型的约化

Jixiang Fu

Jingcao Wu

On the global generation of higher direct images of pluricanonical bundles

关于多典范丛高阶直像的全球生成性

Julian Holstein

Mauro Porta

Analytification of mapping stacks

映射栈的解析化

Takumi Murayama

Relative vanishing theorems for $\mathbf{Q}$-schemes

关于$\mathbf{Q}$-概型的相对消没定理

Georgios Pappas

Michael Rapoport

On tamely ramified $\mathcal G$-bundles on curves (with an appendix by Brian Conrad)

关于曲线上的驯顺分歧 $\mathcal G$-丛（附录由Brian Conrad撰写）

We compare tame actions in the category of schemes with torsors in the category of log schemes endowed with the log flat topology. We prove that actions underlying log flat torsors are tame. Conversely, starting from a tame cover of a regular scheme that is a fppf torsor on the complement of a divisor with normal crossings, it is possible to build a log flat torsor that dominates this cover. In brief, the theory of log flat torsors gives a canonical approach to the problem of extending torsors into tame covers.

Jean Gillibert

Heer Zhao

Tame stacks and log flat torsors

驯服叠层与对数平坦torsor

Abbreviation	Algebraic Geom.
Journal Impact	1.15
Quartiles(Global)	MATHEMATICS(Q1)

ISSN	2214-2584, 2313-1691
h-index	20
Top Journals	Yes

Publication Information	Publisher: THE EMS PUBLISHING HOUSE，Publishing cycle: ，Journal Type: journal，Open Access Journals: Yes
Basic data	Year of publication: 2014，Proportion of original research papers: 100.00%，Self Citation Rate:0.00%， Gold OA Rate: 98.57%
Average review cycle	网友分享经验：52 Weeks

Algebraic Geometry

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Invariance of quantum rings under ordinary flops I: Quantum corrections and reduction to local models

On the global generation of higher direct images of pluricanonical bundles

Analytification of mapping stacks

Relative vanishing theorems for $\mathbf{Q}$-schemes

On tamely ramified $\mathcal G$-bundles on curves (with an appendix by Brian Conrad)

On the global generation of higher direct images of pluricanonical bundles

Analytification of mapping stacks

Relative vanishing theorems for $\mathbf{Q}$-schemes

On tamely ramified $\mathcal G$-bundles on curves (with an appendix by Brian Conrad)

Tame stacks and log flat torsors