Geodesic
Q_l-cohomology projective planes and singular Enriques surfaces in characteristic two
Épijournal de Géométrie Algébrique, Tome 3 (2019)

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We classify singular Enriques surfaces in characteristic two supporting a rank nine configuration of smooth rational curves. They come in one-dimensional families defined over the prime field, paralleling the situation in other characteristics, but featuring novel aspects. Contracting the given rational curves, one can derive algebraic surfaces with isolated ADE-singularities and trivial canonical bundle whose Q_l-cohomology equals that of a projective plane. Similar existence results are developed for classical Enriques surfaces. We also work out an application to integral models of Enriques surfaces (and K3 surfaces). 
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     author = {Sch\"utt, Matthias},
     title = {Q_l-cohomology projective planes and singular {Enriques} surfaces in characteristic two},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
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     volume = {3},
     year = {2019},
     doi = {10.46298/epiga.2019.volume3.3990},
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Schütt, Matthias. Q_l-cohomology projective planes and singular Enriques surfaces in characteristic two. Épijournal de Géométrie Algébrique, Tome 3 (2019). doi: 10.46298/epiga.2019.volume3.3990

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