Computation of etale cohomology group











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Let $X$ be a closed subvariety of $mathbb{A_{1}}timesmathbb{A_{1}}timesmathbb{A_{1}}$ over $mathbb{F_{p}}$ defind as solution set of $xy-z^{p}-z=0$.



I want to compute etale cohomology group $H^{*}(X, overline{Q_{l}})$ and
$H^{*}_{c}(X, overline{Q_{l}})$.
Please give me some idea about it. How to compute it.
Thank you in advance.






etale-cohomology







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    up vote
    0
    down vote

    favorite
    2












    Let $X$ be a closed subvariety of $mathbb{A_{1}}timesmathbb{A_{1}}timesmathbb{A_{1}}$ over $mathbb{F_{p}}$ defind as solution set of $xy-z^{p}-z=0$.



    I want to compute etale cohomology group $H^{*}(X, overline{Q_{l}})$ and
    $H^{*}_{c}(X, overline{Q_{l}})$.
    Please give me some idea about it. How to compute it.
    Thank you in advance.






    etale-cohomology







    share|cite|improve this question
























      up vote
      0
      down vote

      favorite
      2









      up vote
      0
      down vote

      favorite
      2






      2





      Let $X$ be a closed subvariety of $mathbb{A_{1}}timesmathbb{A_{1}}timesmathbb{A_{1}}$ over $mathbb{F_{p}}$ defind as solution set of $xy-z^{p}-z=0$.



      I want to compute etale cohomology group $H^{*}(X, overline{Q_{l}})$ and
      $H^{*}_{c}(X, overline{Q_{l}})$.
      Please give me some idea about it. How to compute it.
      Thank you in advance.






      etale-cohomology







      share|cite|improve this question













      Let $X$ be a closed subvariety of $mathbb{A_{1}}timesmathbb{A_{1}}timesmathbb{A_{1}}$ over $mathbb{F_{p}}$ defind as solution set of $xy-z^{p}-z=0$.



      I want to compute etale cohomology group $H^{*}(X, overline{Q_{l}})$ and
      $H^{*}_{c}(X, overline{Q_{l}})$.
      Please give me some idea about it. How to compute it.
      Thank you in advance.






      etale-cohomology




      etale-cohomology






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      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked 12 hours ago









      user371913

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