ANNALES DE L'INSTITUT FOURIER 旨在发表所有数学领域的高水平原创论文，无论是英文还是法文。编辑委员会鼓励提交包含原创和重要结果的文章，或提出新的证明数学领域的核心成果。此外，ANNALES DE L'INSTITUT FOURIER 是一本通用期刊，高度专业化的文章只有在其阐述能够让更多读者接触到的情况下才能被接受。

The Annales de l'Institut Fourier aims to publish high-quality original papers in all areas of mathematics, accepting submissions in both English and French. The editorial board encourages the submission of articles that contain original and significant results, or that provide new proofs of core results in the field of mathematics. Furthermore, the Annales de l'Institut Fourier is a general journal, and highly specialized articles will only be accepted if they can be presented in a way that makes them accessible to a broader audience.

《Annales de l'Institut Fourier》旨在发表所有数学领域的高水平原创论文，接受英文和法文稿件。编辑委员会鼓励提交包含原创性和重要性结果的文章，或提出新的证明以支持数学领域的核心成果。此外，《Annales de l'Institut Fourier》是一份通用期刊，只有在高度专业化的文章能够以易于理解的方式向更广泛的读者群体阐述时，才会被接受。

Annales de l'Institut Fourier

In this paper, we give an effective and efficient algorithm which on input takes non-zero integers A and B and on output produces the generators of the Mordell–Weil group of the elliptic curve over ℚ(t) given by an equation of the form y 2 =x 3 +At 6 +B. Our method uses the correspondence between the 240 lines of a del Pezzo surface of degree 1 and the sections of minimal canonical height on the corresponding elliptic surface over ℚ ¯.

Julie Desjardins

Bartosz NaskrĘcki

Annales de l’institut Fourier

Geometry of the del Pezzo surface <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>y</mml:mi> <mml:mn>2</mml:mn> </mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mi>x</mml:mi> <mml:mn>3</mml:mn> </mml:msup><mml:mo>+</mml:mo><mml:mi>A</mml:mi><mml:msup><mml:mi>m</mml:mi> <mml:mn>6</mml:mn> </mml:msup><mml:mo>+</mml:mo><mml:mi>B</mml:mi><mml:msup><mml:mi>n</mml:mi> <mml:mn>6</mml:mn> </mml:msup></mml:mrow></mml:math>

德佩佐曲面 \( y^2 = x^3 + Am^6 + Bn^6 \) 的几何学

In 1988, Bonahon gave a construction of Thurston's compactification of Teichmüller space using geodesic currents. His argument only applies in the case of closed surfaces, and there are good reasons for that. We present a variant which applies to surfaces of finite area and to do so we prove a control theorem for sequences of random geodesics. Note that this theorem may be of independant interest, especially when the surface is non-compact.

Marie Trin

Thurston’s compactification via geodesic currents: the case of non-compact finite area surfaces

瑟斯顿紧化通过测地流：非紧有限面积曲面的情况

We investigate one-parameter deformations of functions on affine space which define parameterizable hypersurfaces. With the assumption of isolated polar activity at the origin, we are able to completely express the Lê numbers of the special fiber in terms of the Lê numbers of the generic fiber and the characteristic polar multiplicities of the comparison complex, a perverse sheaf naturally associated to any reduced complex analytic space on which the constant sheaf ℚ X • [dimX] is perverse. This generalizes the classical formula for the Milnor number of a plane curve in terms of double points as well as Mond's image Milnor number. We also recover results of Gaffney and Bobadilla using this framework. We obtain similar deformation formulas for maps from ℂ 2 to ℂ 3 , and provide an ansatz for obtaining deformation formulas for all dimensions within Mather's nice dimensions.

Brian Hepler

Deformation Formulas for Parameterized Hypersurfaces

参数化超曲面的变形公式

Coleman calculated the absolute Frobenius on Fermat curves explicitly. In this paper we show that a kind of p-adic continuity implies a large part of his formula. To do this, we study a relation between functional equations of the gamma function, monomial relations on CM-periods, and their p-adic analogues.

Tomokazu Kashio

Note on Coleman’s formula for the absolute Frobenius on Fermat curves

关于Coleman公式在Fermat曲线上的绝对Frobenius的注记

Let X m be a del Pezzo surface of degree 9-m. When m≤5, we compute the cohomology of a general sheaf in M(v), the moduli space of Gieseker semistable sheaves with Chern character v. We also classify the Chern characters for which the general sheaf in M(v) is non-special, i.e. has at most one nonzero cohomology group. Our results hold for arbitrary polarizations, slope semistability, and semi-exceptional moduli spaces. When m≤6, we further show our construction of certain vector bundles implies the existence of stable and semistable sheaves with respect to the anti-canonical polarization.

Daniel Levine

Shizhuo Zhang

Brill–Noether and existence of semistable sheaves for del Pezzo surfaces

Brill-Noether定理与del Pezzo曲面上半稳定层的存在性

Behrstock, Hagen and Sisto classified 3-manifold groups admitting a hierarchically hyperbolic space structure. However, these structures were not always equivariant with respect to the group. In this paper, we classify 3-manifold groups admitting equivariant hierarchically hyperbolic structures. The key component of our proof is that the admissible groups introduced by Croke and Kleiner always admit equivariant hierarchically hyperbolic structures. For non-geometric graph manifolds, this is contrary to a conjecture of Behrstock, Hagen and Sisto and also contrasts with results about CAT(0) cubical structures on these groups. Perhaps surprisingly, our arguments involve the construction of suitable quasimorphisms on the Seifert pieces, in order to construct actions on quasi-lines.

Mark Hagen

Jacob Russell

Alessandro Sisto

Davide Spriano

Equivariant hierarchically hyperbolic structures for 3-manifold groups via quasimorphisms

通过拟同态为3-流形群构造等变分层双曲结构

This article proposes to study the moduli space of a germ of curve S in the complex plane, that is to say the equisingularity class of S up to analytical equivalence relation. The first part is devoted to proving that this last quotient can be endowed with a reasonable, yet not canonical, complex structure. The second part deals with the computation of its generic dimension in terms of topological invariants of S. It can be obtained from the study of the valuations of the Saito module of S, Der(logS), i.e. the module of vector fields tangent to S.

Yohann Genzmer

The Saito module and the moduli of a germ of curve in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mi>ℂ</mml:mi> <mml:mn>2</mml:mn> </mml:msup><mml:mo>,</mml:mo><mml:mn>0</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>.

Saito模与曲线芽在<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mi>ℂ</mml:mi> <mml:mn>2</mml:mn> </mml:msup><mml:mo>,</mml:mo><mml:mn>0</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>中的模空间。

We prove that the Schweitzer complex is elliptic and its cohomologies define cohomological functors. As applications, we obtain finite dimensionality, a version of Serre duality, restrictions of the behaviour of cohomology in small deformations, and an index formula which turns out to be equivalent to the Hirzebruch–Riemann–Roch relations.

Jonas Stelzig

Some remarks on the Schweitzer complex

关于Schweitzer复形的一些评述

Raúl Alonso

Francesc Castella

Óscar Rivero

An anticyclotomic Euler system for adjoint modular Galois representations

反对偶Euler系统与伴随模Galois表示

A Mall bundle on a Hopf manifold H=ℂ n ∖0 ℤ is a holomorphic vector bundle whose pullback to ℂ n ∖0 is trivial. We define resonant and non-resonant Mall bundles, generalizing the notion of the resonance in ODE, and prove that a non-resonant Mall bundle always admits a flat holomorphic connection. We use this observation to prove a version of Poincaré–Dulac linearization theorem, showing that any non-resonant invertible holomorphic contraction of ℂ n is linear in appropriate holomorphic coordinates. We define the notion of resonance in Hopf manifolds, and show that all non-resonant Hopf manifolds are linear; previously, this result was obtained by Kodaira using the Poincaré–Dulac theorem.

Abbreviation
Journal Impact	0.93
Quartiles(Global)	MATHEMATICS(Q2)

ISSN	0373-0956, 1777-5310
h-index	55

Publication Information	Publisher: Association des Annales de l'Institut Fourier，Publishing cycle: Bimonthly，Journal Type: journal，Open Access Journals: No
Basic data	Year of publication: 1996，Proportion of original research papers: 100.00%，Self Citation Rate:0.00%， Gold OA Rate: 50.00%
Average review cycle	网友分享经验：较慢,6-12周
Average recruitment ratio	网友分享经验：容易

Annales de l'Institut Fourier

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Geometry of the del Pezzo surface y 2 =x 3 +Am 6 +Bn 6