By Aart Blokhuis and G. Eric Moorhouse.

Verified locator: 1995 paper, section 4, concluding discussion of ovoids of PG(3,q); manuscript page 23.

By Robert E. Gompf.

Verified locator: 1998 paper, abstract and introduction: Stein surfaces and contact three-manifolds.

By J. M. Landsberg.

Verified locator: Section 6: joins and secant varieties. The byline is J. M. Landsberg.

By Jacob Lurie.

Verified locator: Lecture 20, Definition 2, Example 4 and Example 7; universal property and rational localization.

Annals of Mathematics 48(2), 290–320. Primary publisher record: www.jstor.org/stable/1969172 . Original paper introducing cochain constructions underlying the mod-two cohomology operations. Full publisher text was inaccessible; bibliographic record and later primary mathematical expositions identify the contribution.

Primary work in French translation. Propositions I and III give the circle-area relation and the rational circumference-to-diameter bounds 223/71 and 22/7. Indexed translated text inspected; direct fetching returned 403.

Edited in modern notation by Thomas Little Heath, Cambridge University Press, 1896. Primary translated/adapted Conics text; the edition rearranges the ancient work. Cited passage: Book I, conic sections and their defining geometric relations.

Course lecture text. Definitions1.3–1.4 specify the k-space and weak Hausdorff conventions; section2, Lemmas2.1–2.2, defines the kified product and its universal property.

Primary lecture text: arxiv.org/pdf/1008.0973

Section1 defines the tangent-plus-cotangent bundle, its natural pairing and Courant bracket; section3 explains ordinary complex and symplectic structures as generalized complex structures.

Author lecture text, based on a Hamburg 2003 course. Sections 11 and 13 give the Ricci form and Kähler–Einstein equation; sections 7 and 17 discuss projective and Ricci-flat examples.

Lecture 22, 27 April 2010, from the author-hosted Chromatic Homotopy Theory course. Definition 5 and the following calculation on page 3 define Morava K-theory and its coefficient ring; the course index www.math.ias.edu/~lurie/252x.html identifies the author-hosted series.

Annals of Mathematics 120(1), 39–87. Theorem A, printed page 39, proves weak contractibility of the pointed mapping space from the classifying space of a locally finite discrete group to a connected finite-dimensional CW complex.

Annals of Mathematics 142(3), pages 527–595. Publisher page: annals.math.princeton.edu/1995/142-3/p04

DOI: doi.org/10.2307/2118554

The symplectic-sum construction glues along codimension-two symplectic submanifolds with identified opposite normal bundles. The publisher abstract verifies the resulting realization of finitely presented groups in every even dimension at least four. For the local gluing model and normal-bundle conditions, the Auroux–Smith lectures give a complementary primary exposition.

Author preprint: arxiv.org/abs/math/0401021

Full text: arxiv.org/pdf/math/0401021

Based on CIME lectures in Cetraro, September 2003. Sections 1–2: symplectic background, Lefschetz pencils and fibrations, local models, blowup of base points, and algebraic generic pencils. The date on the consulted arXiv version is 4 January 2004; this is distinct from the later published chapter.

Publications Mathématiques de l’IHÉS 5, pages 5–64. DOI: doi.org/10.1007/BF02684746

Primary archive: archive.numdam.org/item/PMIHES_1960__5__5_0/

Original PDF: www.numdam.org/article/PMIHES_1960__5__5_0.pdf

Final section, pages 63–64, especially Satz 5: local freeness and bijective fiber-cohomology comparison under constant fiber dimension; Satz 6 records Euler-characteristic constancy under flatness and a reduced connected base. Indexed original passages were read; direct PDF fetching timed out. Archive metadata identifies a later correction, which should be retained alongside the original bibliographic record.

Author-hosted notes: math.berkeley.edu/~alanw/GofQ.pdf

Appendix A, pages 119–121 in the displayed text (PDF pages 119–121): fractional densities, their product and integration, and the intrinsic Hilbert space obtained by completing compactly supported half-densities. The preface identifies courses in 1992 and 1994; no publication year inferred from those course dates.

Author-hosted notes: people.math.harvard.edu/~mpopa/271/Kodaira-posted.pdf

Sections 1.1–1.3: plurigenera and birational invariance; Definition 1.2.1 and Proposition 1.2.4, Iitaka dimension and polynomial growth along sufficiently divisible powers; Definition 1.3.1 and Examples 1.3.2–1.3.7, Kodaira dimension and curve/surface examples.

The author and course are verified by the institutional page people.math.harvard.edu/~mpopa/271/index.html; no publication year inferred.

Primary author-hosted manuscript: sites.lsa.umich.edu/idolga-new/wp-content/uploads/sites/1467/2024/08/hesse09.pdf

Publisher: ems.press/journals/lem/articles/12146

Preprint: arxiv.org/abs/math/0611590

Section 2, manuscript pp.3–5: Hesse equations, common flex/base points, normal form and Hessians. Published in L’Enseignement Mathématique 55 (2009), pp.235–273. The wiki calculations explicitly use complex coefficients to avoid small-characteristic Hessian degeneracies.

Primary slides: www-fourier.ujf-grenoble.fr/~demailly/source_files/presentations/pau_colloquium_160217/colloqpau-slides.pdf

University of Pau colloquium, February 16, 2017. Slide 16 of 23 contracts the tangent curvature and derives the Ricci form as minus i times the mixed derivative of the metric log determinant; slide 17 gives the Kähler-Einstein equation.

Primary author-hosted notes: www.math.colostate.edu/~miranda/BTES-Miranda.pdf

Author publication page: www.math.colostate.edu/~miranda/

Example (I.5.1), printed p.7: resolving a pencil of plane cubics by nine blowups, the elliptic fibration and its anticanonical fibre class. The author page identifies ETS Editrice Pisa, 1989.